The number 55828
55828 is a composite number with 12 divisors. Its prime factorisation is × 17 × 821. Divisors (12): 1, 2, 4, 17, 34, 68, 821, 1642, 3284, 13957, 27914, 55828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55828 is composite. Its prime factorisation is
- 3
The divisors add up to 103572; without 55828 itself that is 47744, so 55828 is deficient (47744 is less than 55828). Euler's totient φ(55828) = 26240 numbers up to 55828 share no factor with it.
- 4
The digits of 55828 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55828 = 2^{2} \times 17 \times 821 \]55828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 103572 |
| Euler totient φ(n) | 26240 |
| Square | 3116765584 |
| Cube | 174002789023552 |
| Square root | 236.279496 (= 2√13957) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5828 × |
55828 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and twenty-eight |
| Binary (base 2) | 1101101000010100 |
| Octal (base 8) | 155024 |
| Hexadecimal (base 16) | DA14 |
| Base 3 | 2211120201 |
| As time | 55828 seconds = 15 h 30 min 28 s |
Is 55828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55828 ÷ 2 = 27914) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55828 ÷ 4 = 13957) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55828 a prime number?
No. 55828 = × 17 × 821, so it is divisible by 2.
What are the factors of 55828?
1, 2, 4, 17, 34, 68, 821, 1642, 3284, 13957, 27914, 55828.
What is 55828 in binary?
1101101000010100 (hexadecimal DA14, octal 155024).
What is the square root of 55828?
About 236.2795, exactly 2√13957.
Is 55828 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55828?
It is a composite number with 12 divisors.